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Simplifying 4n + -5(8 + 7n) = 35 + -6n 4n + (8 * -5 + 7n * -5) = 35 + -6n 4n + (-40 + -35n) = 35 + -6n Reorder the terms: -40 + 4n + -35n = 35 + -6n Combine like terms: 4n + -35n = -31n -40 + -31n = 35 + -6n Solving -40 + -31n = 35 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -40 + -31n + 6n = 35 + -6n + 6n Combine like terms: -31n + 6n = -25n -40 + -25n = 35 + -6n + 6n Combine like terms: -6n + 6n = 0 -40 + -25n = 35 + 0 -40 + -25n = 35 Add '40' to each side of the equation. -40 + 40 + -25n = 35 + 40 Combine like terms: -40 + 40 = 0 0 + -25n = 35 + 40 -25n = 35 + 40 Combine like terms: 35 + 40 = 75 -25n = 75 Divide each side by '-25'. n = -3 Simplifying n = -3
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